In the method for producing medical, in particular dental fitting bodies 3 with a specified or custom three-dimensionally curved outer contour 3.1 or preform of the fitting body 3 with a rough outer contour, which has an allowance relative to the outer contour, a workpiece 2, from which the fitting body 3 or its preform is produced, is machined in a material-removing manner by means of a tool 5 engaging in the workpiece 2. The tool path 1 has directional components transverse to the run of the contour 3.1 to be produced and the cutting edges 8 have a defined geometry. The tool 5 engages into the workpiece 2 at a cutting arc angle alpha of the circumferential surface 7 of less than 90° on average and at an insertion depth (ta, tb, tg) of at least twice the tool diameter (D) and the machining of the workpiece 2 occurs along a tool path 1 with directional components contrary to a machining direction following the outer contour (3.1).A workpiece has a recess, in which a machining tool is positioned prior to the machining occurring essentially via its circumferential surface.